(1) (3 points) A flat circular ring of wire with radius 56.5 cm lies horizontall

Question

(1) (3 points) A flat circular ring of wire with radius 56.5 cm lies horizontally in a uniform magnetic field with field strength of 4.00 T. The uniform field is rotated to various directions, as shown in the diagrams below. (a) The field is perpendicular(b) The field makes a 30 angle (c)The field is parallel to the horizontal surface. to the horizontal surface. with the horizontal surface. Calculate the magnetic flux through the circular ring in case (a). case (b), and case (c). Make sure to write the numeric values using the correct SI units

Explanation / Answer

(1) Magnetic flux = B.A (dot product)

= B A cos(theta)

A = pi r^2 = pi (0.565^2) = 1 m^2

(A) theta = 0 deg  

flux = (1)(4) cos0 = 4 Wb

(B) theta = 90 - 30 = 60 deg

flux = (1)(4)cos60 = 2 Wb

(C) theta = 90 deg

flux = 0

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